Answer
397.5k+ views
Hint:To find the HCF using the division method, we divide the first two terms of the three terms and the first term of the three term acts as a divisor for the second term and the second term acts as a divisor for the third term and even after that if the remainder is zero then we get the final answer on the right side as the HCF of these three numbers.
Complete step by step solution:
To find the HCF of the three numbers as given in the above question we use the long division formula, first for the first two numbers i.e. \[391,425\].
Now let us make the value \[391\] as divisor and \[425\] as dividend, for which we get the value as:
\[\begin{align}
& \begin{matrix}
\left. 391 \right) & 425 \\
{} & \underline{391} \\
\end{matrix} \\
& \text{ }\begin{matrix}
\left. 34 \right) & \left. 391 \right)1 \\
{} & \underline{34}\text{ } \\
\end{matrix} \\
& \text{ 51} \\
& \text{ }\underline{\text{34}} \\
& \text{ }\left. \text{17} \right)\left. 34 \right)2 \\
& \text{ }\underline{\text{34}} \\
& \text{ 0} \\
\end{align}\]
We can see that the numbers \[391,425\] cleanly divides both the number forming the HCF of the two numbers as \[17\] and now we follow the same procedure for the number \[425,527\].
Now let us make the value \[425\] as divisor and \[527\] as dividend, for which we get the value as:
\[\begin{align}
& \begin{matrix}
\left. 425 \right) & 527 \\
{} & \underline{425} \\
\end{matrix} \\
& \text{ }\begin{matrix}
\left. 17 \right) & \left. 17 \right)1 \\
{} & \text{ }17\text{ } \\
\end{matrix} \\
& \text{ 0} \\
& \text{ } \\
\end{align}\]
Now for the division of \[425\] and \[527\], we get the HCF as \[17\].
Therefore, the two HCF are \[17\] making the highest common factor as \[17\].
Note: The HCF can also be found by the factorization method where we use the numbers as:
\[\begin{align}
& 17\left| 391,425,527 \right. \\
& \text{ }\left| 023,025,031 \right. \\
\end{align}\]
Hence, the HCF of the three numbers \[391,425,527\] is \[17\].
Complete step by step solution:
To find the HCF of the three numbers as given in the above question we use the long division formula, first for the first two numbers i.e. \[391,425\].
Now let us make the value \[391\] as divisor and \[425\] as dividend, for which we get the value as:
\[\begin{align}
& \begin{matrix}
\left. 391 \right) & 425 \\
{} & \underline{391} \\
\end{matrix} \\
& \text{ }\begin{matrix}
\left. 34 \right) & \left. 391 \right)1 \\
{} & \underline{34}\text{ } \\
\end{matrix} \\
& \text{ 51} \\
& \text{ }\underline{\text{34}} \\
& \text{ }\left. \text{17} \right)\left. 34 \right)2 \\
& \text{ }\underline{\text{34}} \\
& \text{ 0} \\
\end{align}\]
We can see that the numbers \[391,425\] cleanly divides both the number forming the HCF of the two numbers as \[17\] and now we follow the same procedure for the number \[425,527\].
Now let us make the value \[425\] as divisor and \[527\] as dividend, for which we get the value as:
\[\begin{align}
& \begin{matrix}
\left. 425 \right) & 527 \\
{} & \underline{425} \\
\end{matrix} \\
& \text{ }\begin{matrix}
\left. 17 \right) & \left. 17 \right)1 \\
{} & \text{ }17\text{ } \\
\end{matrix} \\
& \text{ 0} \\
& \text{ } \\
\end{align}\]
Now for the division of \[425\] and \[527\], we get the HCF as \[17\].
Therefore, the two HCF are \[17\] making the highest common factor as \[17\].
Note: The HCF can also be found by the factorization method where we use the numbers as:
\[\begin{align}
& 17\left| 391,425,527 \right. \\
& \text{ }\left| 023,025,031 \right. \\
\end{align}\]
Hence, the HCF of the three numbers \[391,425,527\] is \[17\].
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)